1 Use the geometric series 1 >a* for |æ| < 1, to find a power series representation k=0 for the following functions. 1 (a) f(x) = 1+ x 1 (b) g(x) = 1 x2 (e) What are the radii of convergence of the power series above?
1 Use the geometric series 1 >a* for |æ| < 1, to find a power series representation k=0 for the following functions. 1 (a) f(x) = 1+ x 1 (b) g(x) = 1 x2 (e) What are the radii of convergence of the power series above?
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Transcribed Image Text:Use the geometric series
1
:) * for |x| < 1, to find a power series representation
1 .
k=0
for the following functions.
1
(a) f(x)
1+ x
1
(b) g(x)
1
x2
(e) What are the radii of convergence of the power series above?
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